Mathlib Map

Theorems · Theorem · logic and foundations

Part.bind_none

∀ {α : Type u_1} {β : Type u_2} (f : α → Part β), Part.none.bind f = Part.none
Defined in
Mathlib.Data.Part
Cited by
9 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Primrec.to_comp · cited by 40Primrec.to_compPartrec.comp · cited by 12Partrec.compPartrec.bind · cited by 10Partrec.bindComputable.ofOption · cited by 7Computable.ofOptionComputable.pair · cited by 5Computable.pairPartrec.rfind · cited by 4Partrec.rfindPartrec.none · cited by 3Partrec.nonePartrec.nat_rec · cited by 3Partrec.nat_recComputable.bind_decode_iff · cited by 1Computable.bind_decode_iffPart · cited by 325PartPart.bind · cited by 70Part.bindPart.none · cited by 36Part.nonePart.eq_none_iff · cited by 6Part.eq_none_iffPart.bind_noneCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by9

Results whose statement or proof uses this declaration.